随机Jacobi矩阵特征多项式的中心极限定理与GβE
概率论
2023-02-17 v4
摘要
我们证明了随机Jacobi矩阵特征多项式对数的中心极限定理。我们的结果涵盖了β>0时的GβE模型。
关键词
引用
@article{arxiv.2011.06870,
title = {A CLT for the characteristic polynomial of random Jacobi matrices, and the G$\beta$E},
author = {Fanny Augeri and Raphael Butez and Ofer Zeitouni},
journal= {arXiv preprint arXiv:2011.06870},
year = {2023}
}
备注
V3: Corrected a mistake in computation of centering, improved error estimates through section 4, various typos corrected. V4: Slight modifications and rearrangement, to appear in PTRF